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Finding the Fourth Proportional to 679.24, 935.22 and 642.76

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Solution

The fourth proportional to 679.24, 935.22 and 642.76 is: 884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.24 : 935.22 = 642.76 : x
  2. Step 2: Convert to fraction form
    679.24/935.22 = 642.76/x
  3. Step 3: Cross multiply
    679.24x = 935.22 × 642.76
  4. Step 4: Simplify right side
    679.24x = 601,122.01
  5. Step 5: Solve for x
    x = 601,122.01/679.24
  6. Step 6: Final answer
    x = 884.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.